8-2 Problem Solving in Geometry with Proportions - Nexuslearning.net
8-2 Problem Solving in Geometry with Proportions - Nexuslearning.net
8-2 Problem Solving in Geometry with Proportions - Nexuslearning.net
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SAMMY SOSA<br />
was the National<br />
League Most Valuable<br />
Player <strong>in</strong> 1998. He hit 66<br />
home runs to f<strong>in</strong>ish second<br />
to Mark McGwire who hit 70,<br />
a new record.<br />
APPLICATION LINK<br />
www.mcdougallittell.com<br />
REAL<br />
REAL LIFE<br />
LIFE<br />
INTERNET<br />
FOCUS ON<br />
PEOPLE<br />
PROPERTIES OF PROPORTIONS Use the diagram and the given <strong>in</strong>formation<br />
to f<strong>in</strong>d the unknown length.<br />
AB<br />
AC<br />
23. GIVEN = , f<strong>in</strong>d BD. 24. GIVEN<br />
BD<br />
CE<br />
VW<br />
= <br />
WY<br />
VX<br />
11.25 , f<strong>in</strong>d VX. 9<br />
XZ<br />
D<br />
B<br />
A<br />
20 16<br />
C<br />
9<br />
25. GIVEN BT<br />
= <br />
TR<br />
ES<br />
, f<strong>in</strong>d TR.<br />
2 SP<br />
SQ<br />
26. GIVEN<br />
SL<br />
= , f<strong>in</strong>d SQ.<br />
1<br />
6 } } 17}2 }<br />
3<br />
SK<br />
SJ<br />
B<br />
4<br />
T<br />
R<br />
BLUEPRINTS In Exercises 29<br />
and 30, use the bluepr<strong>in</strong>t of the<br />
1<br />
house <strong>in</strong> which <strong>in</strong>ch = 1 foot.<br />
16<br />
Use a ruler to approximate the<br />
dimension.<br />
29. F<strong>in</strong>d the approximate width of the<br />
house to the nearest 5 feet.<br />
about 25 ft<br />
30. F<strong>in</strong>d the approximate length of the<br />
house to the nearest 5 feet.<br />
about 40 ft<br />
31. BATTING AVERAGE The batt<strong>in</strong>g average of a baseball player is the ratio<br />
of the number of hits to the number of official at-bats. In 1998, Sammy Sosa<br />
of the Chicago Cubs had 643 official at-bats and a batt<strong>in</strong>g average of .308.<br />
Use the follow<strong>in</strong>g verbal model to f<strong>in</strong>d the number of hits Sammy Sosa got.<br />
Number<br />
of<br />
hits<br />
= <br />
Number<br />
of<br />
at-bats<br />
Batt<strong>in</strong><br />
198 hits<br />
g average<br />
<br />
1.000<br />
32. CURRENCY EXCHANGE Natalie has relatives <strong>in</strong> Russia. She decides to<br />
take a trip to Russia to visit them. She took 500 U.S. dollars to the bank to<br />
exchange for Russian rubles. The exchange rate on that day was 22.76 rubles<br />
per U.S. dollar. How many rubles did she get <strong>in</strong> exchange for the 500 U.S.<br />
11,380 rubles<br />
dollars? Source: Russia Today<br />
E<br />
E<br />
6<br />
S<br />
10<br />
L<br />
Y<br />
6<br />
W<br />
8.2 <strong>Problem</strong> <strong>Solv<strong>in</strong>g</strong> <strong>in</strong> <strong>Geometry</strong> <strong>with</strong> <strong>Proportions</strong> 469<br />
24<br />
V<br />
X<br />
3<br />
Z<br />
K J<br />
2<br />
P<br />
q<br />
5<br />
7<br />
LJ<br />
27. GIVEN = <br />
JN<br />
MK<br />
, f<strong>in</strong>d JN.<br />
KP<br />
28. GIVEN QU<br />
= <br />
QS<br />
R<br />
6<br />
6 } }<br />
7<br />
V<br />
, f<strong>in</strong>d SU.<br />
RT<br />
9<br />
16<br />
L M<br />
12<br />
S<br />
6<br />
q R<br />
4<br />
T<br />
J<br />
K<br />
9<br />
6<br />
N P<br />
U<br />
V<br />
S